Sentence examples for without written proof from inspiring English sources

And most of all, don't forget to record all activities: without written proof, you have nothing.

"So without any written proof that it's not you, you would expect someone just, you know, to go on say-so?" he demanded.

that one knows without written sheet music.

Freestyle over beats without writing anything down.

However it turned out that proofs written without algorithmic efficiency in mind often produce very inefficient algorithms — exponential and double-exponential ones for problems that can be solved in polynomial time.

The teacher gets up, writes a proof on the board and writes Q.E.D.

In prison he used toilet paper to write mathematical proofs.

HCS assisted in data analysis, interpretation, writing and proof-reading of the manuscript.

Practice writing geometric proofs.

The proof is written in four cases.

In the printed total of 116, numbers XVIII to XX were inserted by early editors without proof that they were written by Catullus.